How to Find GCF of 7130/254, 5764/2717?

GCF of 7130/254, 5764/2717

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 7130/254, 5764/2717 i.e 2/690118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7130/254, 5764/2717.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 7130/254,5764/2717?

Given fractions are 7130/254,5764/2717

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 7130/254,5764/2717, numerators are 7130,5764

Denominators are 254,2717

The GCF of 7130,5764 is 2 .

LCM of 254,2717 is 690118.

The greatest common factor of 7130/254,5764/2717 = [GCF of 7130,5764]/[LCM of 254,2717]= 2/690118

Therefore, the GCF of 7130/254,5764/2717 is 2/690118.

Greatest Common Factor of 7130,5764

To find the highest common factor of 7130,5764, we have to find the factors of both numbers and list the highest common factor.

The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130

The factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764

The HCF of 7130,5764 is 2.

Lets's calculate GCF of 7130,5764

Greatest Common Factor (GCF) of 7130,5764 By Common Division

2	7130, 5764
	3565, 2882

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7130,5764 By Matching Biggest Common Factor Method

Now, list down the factors of 7130

1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130

Now, list down the factors of 5764

1,2,4,11,22,44,131,262,524,1441,2882,5764

Greatest Common Factor

We found the factors 7130,5764 . The biggest common factor number is the GCF number.
So the greatest common factor 7130,5764 is 2.

Lets's calculate LCM of 254,2717

Lowest Common Multiple of 254,2717 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 690118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/690118

Therefore, the GCF of Fractions 7130/254,5764/2717 is 2/690118

Least Common Multiple of 254,2717 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 254,2717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,2717) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(254,2717) x common factors =1 x 1 = 1

LCM(254,2717) = ( 254 × 2717 ) / 1

LCM(254,2717) = 690118 / 1

LCM(254,2717) = 690118

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FAQs on GCF of Fractions of 7130/254, 5764/2717

1. What is the HCF of 7130,5764?

The HCF of 7130,5764 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 7130/254, 5764/2717?

Answer: GCF of Numerators as per given numbers 7130/254, 5764/2717 is

GCF of Numerators i.e. for 7130,5764 is 2

LCM of denominators i.e. for 254,2717 is 690118.

Thus, GCF of Fractions is 2/690118.Finally, GCF of Fractions for 7130/254, 5764/2717 is 2/690118.